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Finding the Third Proportional to 45,648 and 94,368

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Solution

The third proportional to 45,648 and 94,368 is: 195,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,648 : 94,368 = 94,368 : x
  2. Step 2: Convert to fraction form
    45,648/94,368 = 94,368/x
  3. Step 3: Cross multiply
    45,648x = 94,368 × 94,368
  4. Step 4: Simplify right side
    45,648x = 8,905,319,424
  5. Step 5: Solve for x
    x = 8,905,319,424/45,648
  6. Step 6: Final answer
    x = 195,086.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.